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Finding the Fourth Proportional to 10,974.73, 15,141.39 and 6,194.11

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Solution

The fourth proportional to 10,974.73, 15,141.39 and 6,194.11 is: 8,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.73 : 15,141.39 = 6,194.11 : x
  2. Step 2: Convert to fraction form
    10,974.73/15,141.39 = 6,194.11/x
  3. Step 3: Cross multiply
    10,974.73x = 15,141.39 × 6,194.11
  4. Step 4: Simplify right side
    10,974.73x = 93,787,435.21
  5. Step 5: Solve for x
    x = 93,787,435.21/10,974.73
  6. Step 6: Final answer
    x = 8,545.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.